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MathNet 2018-part-05 — 181 problems (EN–VI) Question 150

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 150

At which point does the graph of the function $f(x)=2 \log _{\sqrt{2}}(\sqrt{2} x-5)-4$ intersect the $x$-axis?
(A) $\left(\frac{7 \sqrt{2}}{2}, 0\right)$
(B) $(7 \sqrt{2}, 0)$
(C) $(1-7 \sqrt{2}, 0)$
(D) $\left(\frac{\sqrt{2}}{7}, 0\right)$
(E) $\left(\frac{\sqrt{2}}{2}-7,0\right)$